Pith Number

pith:YIIKSHJ6

pith:2019:YIIKSHJ6BHZ7KQIBC272VL7X6I

not attested not anchored not stored refs pending

A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications

Xiaoping Yuan, Yuan Wu

arxiv:1908.11072 v1 · 2019-08-29 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIIKSHJ6BHZ7KQIBC272VL7X6I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T00:00:30.202553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c210a91d3e09f3f5410116bfaaaff7f212b42693bc14b2bd0f836b8b7802c1ec

Aliases

arxiv: 1908.11072 · arxiv_version: 1908.11072v1 · doi: 10.48550/arxiv.1908.11072 · pith_short_12: YIIKSHJ6BHZ7 · pith_short_16: YIIKSHJ6BHZ7KQIB · pith_short_8: YIIKSHJ6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YIIKSHJ6BHZ7KQIBC272VL7X6I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c210a91d3e09f3f5410116bfaaaff7f212b42693bc14b2bd0f836b8b7802c1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5354bb3a4a7a9e5e56f0a50f4090ea09ceb1b6ac6f09affc664a1c9679e753c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-29T07:05:42Z",
    "title_canon_sha256": "93a1b1ee1351f7ea7c2dcbe17f01f1ee939b1223dc8ef46b81604bb766406b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11072",
    "kind": "arxiv",
    "version": 1
  }
}